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Finding the Fourth Proportional to 15,706.86, 23,558.67 and 9,845.70

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Solution

The fourth proportional to 15,706.86, 23,558.67 and 9,845.70 is: 14,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.86 : 23,558.67 = 9,845.70 : x
  2. Step 2: Convert to fraction form
    15,706.86/23,558.67 = 9,845.70/x
  3. Step 3: Cross multiply
    15,706.86x = 23,558.67 × 9,845.70
  4. Step 4: Simplify right side
    15,706.86x = 231,951,597.22
  5. Step 5: Solve for x
    x = 231,951,597.22/15,706.86
  6. Step 6: Final answer
    x = 14,767.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.